Ornstein–Uhlenbeck price process
An application of Ornstein Uhlenbeck process to commodity pricing in Thailand
... daily price for BHMR, RSS, and TS, ...mean-reversion process. However, the graphs of simulation with Ornstein-Uhlenbeck process show that the mean reversion is faster than the ...
10
Online Full Text
... The Ornstein-Uhlenbeck process denotes the mean- reverting property which means that if process is above the long run mean, then drift become negative then process be pulled to mean ...
7
Geometric Fractional Brownian Motion Perturbed by Fractional Ornstein Uhlenbeck Process and Application on KLCI Option Pricing
... close price da- ta set of KLCI from 3rd of January, 2005 to 29th of December, 2006 is studied; with total of observations of ...the price appear to be more practical as these fluctuations are ...the ...
13
Maximum likelihood estimators in linear regression models with Ornstein Uhlenbeck process
... This process is now widely used in many areas of ...the Ornstein-Uhlenbeck process is the tendency to return towards the long-term equilib- rium ...energy price processes (see Fasen ...
31
First Hitting Place Probabilities for a Discrete Version of the Ornstein Uhlenbeck Process
... for a possibly asymmetric Markov chain with state space {−M, . . . , 0, . . . , N}. This type of Markov chain could have applications in mathematical finance, in particular. Indeed, if one is looking for the probability ...
12
Estimation of Hidden Markov Models and Their Applications in Finance
... commodity price time series along with the investigation of its various implementation ...futures price model suited for Kalman filtering and maximum likelihood ...an Ornstein-Uhlenbeck ...
192
Bayesian estimation of the fractional Ornstein- Uhlenbeck instantaneous rate of asset return process: Evidence from high-frequency stock price data
... return process obeys an Ornstein-Uhlenbeck (OU) process driven by a fractional ...return process over successive observations as the increment of ...stock price data from Athens ...
19
Calibration of the exponential Ornstein–Uhlenbeck process when spot prices are visible through the maximum log likelihood method Example with gold prices
... spot price with futures prices (which are visible) and then applying a filtering process known as the Kalman filter (for a detailed discussion of the state space models and the Kalman filter, see Harvey [13]) ...
14
European option pricing model with generalized Ornstein–Uhlenbeck process under stochastic earning yield and stochastic dividend yield
... the Ornstein–Uhlenbeck process and define it as generalized Ornstein–Uhlenbeck ...generalized Ornstein–Uhlenbeck ...Wiener process of generalized ...stock ...
15
Financial Modelling with Ornstein–Uhlenbeck Processes Driven by Lévy Process
... asset, price spreads are observed in the short time, but in the long time, the demand of product is adjusted and the prices move towards around the level of production cost of ...
6
Infinite dimensional Ornstein-Uhlenbeck processes driven by Lévy processes
... evy process, and the corresponding generalised Ornstein-Uhlenbeck processes are interesting from both a theoretical and applied viewpoint (see ...
22
Maximum likelihood estimation for multiscale Ornstein Uhlenbeck processes
... We consider the case where the multiscale system is an OU process, where the av- eraging and homogenization principles still hold. We look at the MLE estimators of both the drift and diffusion coefficients of the ...
28
A cautionary note on the use of Ornstein Uhlenbeck models in macroevolutionary studies
... Table 4 shows the proportion of data sets in which the OU model is favoured over the Brownian model for data simulated under Brownian motion with error. The expectation is that the OU model should fit better because the ...
14
Drift term and vertex point in single factor interest rate model
... Important aspects identified from this exercise, by using a stochastic differential equation in the form of the Ornstein-Uhlenbeck process, the drift term that is obtained plays a crucial role in ...
7
Measures of dependence for Ornstein Uhlenbeck processes with tempered stable distribution
... the Ornstein-Uhlenbeck process by a heavier tailed L´ evy pro- ...The Ornstein-Uhlenbeck process with α-stable struc- ture was analyzed in [6] as a suitable model to description ...
15
Investigation of Different Input Noise Types in Linear and Nonlinear Stochastic Neural Models.
... We consider two scenarios separately. First case is when the mean voltage + 2std (standard deviation) is less than threshold, and the other is when it is the greater than the threshold. The mean voltage + 2std less than ...
208
On the infinitesimal generators of Ornstein–Uhlenbeck processes with jumps in Hilbert space
... In the last part of the paper, we consider the mixed topology, i.e. the finest locally convex topology that agrees on norm bounded sets with the topology of uniform convergence on compacts. This has previously been ...
30
Windings of Planar Processes and Applications to the Pricing of Asian Options
... Abstract: Motivated by a common Mathematical Finance topic, this paper surveys several results concerning windings of 2-dimensional processes, including planar Brownian motion, complex-valued ...
14
Robust volatility estimation for multiscale diffusions with zero quadratic variation
... In Chapter 4, we applied the estimator to data that exhibit zero quadratic variation. To be more specic, we considered a simple multiscale system were fast dynamics are described by an OrnsteinUhlenbeck (OU) ...
113
Jordan decomposition and geometric multiplicity for a class of non symmetric Ornstein Uhlenbeck operators
... non-symmetric Ornstein-Uhlenbeck operators with the drift coefficient matrix, being a Jordan block, and the diffusion coefficient matrix, being the identity multiplying a ...
14